BALTIMORE — David Ortiz hasn’t had much success against the Orioles the last few seasons, knowledge that prompted him to spend extra time this week watching video of their pitchers.

Ortiz likes to watch recent games to get a better sense for how pitchers will attack him and what he saw gave him hope. The Orioles gave up 14 runs in a three-game series against the struggling Angels and 17 over three days against the Rays.

Ortiz noted that Chris Tillman, who started for the Orioles on Friday night, leads the league in home runs allowed.

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Reality proved to be much different from those images on a laptop as the Orioles beat the Sox, 2-0, on Friday night.

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The Sox scored two runs in the seventh inning on Thursday night before losing a game that went 13 innings. They haven’t scored since. That’s 15 consecutive shutout innings for the Orioles with the Sox going 3 for 47.

“That team gets excited for us. I watched almost all of the at-bats from their last few series and they didn’t pitch that way,” said Ortiz, who was 0 for 3 on Friday.

“Tillman didn’t give us anything. He was throwing me backdoor breaking balls and changeups in hitters’ counts and hitting the spot. Their bullpen, the same thing. They execute against us.”

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Ortiz then muttered a curse.

“Been that way for a few years,” he said.

He’s right. The Sox are 1-4 against the Orioles this season and have lost 22 of 30 games against Baltimore going back to that fateful final month of the 2011 season.

The second-place Orioles have won five of their last six games and trail the Sox by 1½ games with two games left in the series.

The Sox played a 14-inning game on Monday then another long one on Thursday. They looked like a tired team. Jose Iglesias, who had two days off, had two of the three hits.

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“Could be,” manager John Farrell said. “I can’t say we didn’t take good swings. But at the same time, they did a good job to keep us off stride.”

Ryan Dempster (4-7) pitched into the eighth inning, giving up two runs on five hits in his first career appearance at Camden Yards after 16 seasons in the majors. On most nights, that’s a win.

Dempster threw 122 pitches and the 7⅔ innings he pitched were his most this season.

“Ryan did an outstanding job,” Farrell said. “Obviously we pushed him a little bit hard in that eighth inning. Felt like that was his game.”

Chris Davis drove a high fastball into the stands in left-center in the second inning for his 22d home run, the most in the majors.

Dempster walked Nate McLouth to start the third inning and that cost him. Manny Machado singled before a fly ball to center by Nick Markakis moved McLouth to third.

With two outs, Adam Jones took a full swing that resulted in a dribbler down the line at third base. Will Middlebrooks made a barehanded play, but Jones beat the throw.

“Sometimes you just get outpitched and there’s really nothing you can do about it,” Dempster said. “We don’t get shut out very often. It’s kind of a rarity. We’ll bounce back tomorrow and go out there and get a win.”

The Red Sox have scored three or fewer runs with Dempster on the mound in 10 of his 14 starts. Friday was the fifth time they scored one or fewer.

“For me, it’s not about me. It’s about us as a team,” Dempster said. “We’re just trying to win games however we can get them.”

Tillman has pitched well against the Red Sox in his career and that continued. He threw six innings, allowing three hits with four walks.

Tillman has a 1.54 earned run average in his last five starts against the Sox, allowing only 27 hits over 35 innings.

“If he pitches like that, he’s one of the best guys in the league,” Ortiz said. “I was impressed.”

The best shot the Sox had came in the first inning. Shane Victorino singled with one out before Ortiz drew a walk with two outs. Mike Carp, who came in with four home runs in his previous eight games, sent a pitch to the wall in right but Markakis caught it.

Tillman had retired eight straight before Iglesias led off the seventh inning with a double down the line in right.

With Tillman at 106 pitches, Orioles manager Buck Showalter called in Darren O’Day, a righthander with a drop-down delivery. He got Middlebrooks to pop to second and struck out David Ross before Jacoby Ellsbury flied to center.

Middlebrooks and Ross, both righthanded hitters, did not get good swings. Farrell had switch-hitter Jarrod Saltalamacchia available but was committed to the idea of giving him a full night off after he caught all 13 innings Thursday. He also passed on pinch hitting Stephen Drew for Middlebrooks.

Middlebrooks is now 0 for 5 in his career against O’Day. Drew is 1 for 2 with a home run.